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GCF of 884/594, 731/630

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 884/594, 731/630 i.e 17/20790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 884/594, 731/630.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 884/594,731/630?

Given fractions are 884/594,731/630

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 884/594,731/630, numerators are 884,731

Denominators are 594,630

The GCF of 884,731 is 17 .

LCM of 594,630 is 20790.

The greatest common factor of 884/594,731/630 = [GCF of 884,731]/[LCM of 594,630]= 17/20790

Therefore, the GCF of 884/594,731/630 is 17/20790.

Greatest Common Factor of 884,731

To find the highest common factor of 884,731, we have to find the factors of both numbers and list the highest common factor.

The factors of 884 are 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

The factors of 731 are 1, 17, 43, 731

The HCF of 884,731 is 17.

Lets's calculate GCF of 884,731

Greatest Common Factor (GCF) of 884,731 By Common Division

17 884, 731
52, 43

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 884,731 By Matching Biggest Common Factor Method

Greatest Common Factor of 884,731 By Matching Biggest Common Factor Method

Now, list down the factors of 884

:

1,2,4,13,17,26,34,52,68,221,442,884

Now, list down the factors of 731

:

1,17,43,731

Greatest Common Factor

We found the factors 884,731 . The biggest common factor number is the GCF number.
So the greatest common factor 884,731 is 17.

Lets's calculate LCM of 594,630

Lowest Common Multiple of 594,630 using Common Division

2 594, 630
3 297, 315
3 99, 105
33, 35

∴ So the LCM of the given numbers is 2 x 3 x 3 x 33 x 35 = 20790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/20790

Therefore, the GCF of Fractions 884/594,731/630 is 17/20790

Least Common Multiple of 594,630 with GCF Formula

Least Common Multiple of 594,630 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 594,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(594,630) = 18

common factors(in case of two or more numbers have common factors) = 1

GCF(594,630) x common factors =18 x 1 = 18

LCM(594,630) = ( 594 × 630 ) / 18

LCM(594,630) = 374220 / 18

LCM(594,630) = 20790


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FAQs on GCF of Fractions of 884/594, 731/630

1. What is the HCF of 884,731?

The HCF of 884,731 is 17

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 884/594, 731/630?

Answer: GCF of Numerators as per given numbers 884/594, 731/630 is

GCF of Numerators i.e. for 884,731 is 17

LCM of denominators i.e. for 594,630 is 20790.

Thus, GCF of Fractions is 17/20790.Finally, GCF of Fractions for 884/594, 731/630 is 17/20790.